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Finding the Fourth Proportional to 16,055.64, 24,084.54 and 6,195

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Solution

The fourth proportional to 16,055.64, 24,084.54 and 6,195 is: 9,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055.64 : 24,084.54 = 6,195 : x
  2. Step 2: Convert to fraction form
    16,055.64/24,084.54 = 6,195/x
  3. Step 3: Cross multiply
    16,055.64x = 24,084.54 × 6,195
  4. Step 4: Simplify right side
    16,055.64x = 149,203,725.30
  5. Step 5: Solve for x
    x = 149,203,725.30/16,055.64
  6. Step 6: Final answer
    x = 9,292.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.